Yes it should be that. Its not a trick. I really want to be able to tell people off when they speak like it (although I don't and wouldn't), but to appease my irritation I just want to understand why it irritates me so much.

Are those sentences missing prepositions for example? I don't understand why it irritates me so much. To me, it's not a proper sentence.

If an English language teacher did not mark that as incorrect when written I would say that teacher ought to be looking for a new job. Dialectical or local variations are one thing; written English another so far as I am concerned.